Title :
Synchronization in an array of asymmetric static neural networks with time-varying delay and coupling
Author :
Junyi Wang ; Zhanshan Wang ; Hongjing Liang
Author_Institution :
Coll. of Inf. Sci. & Eng., Northeastern Univ., Shenyang, China
Abstract :
In this paper, synchronization for an array of asymmetric static neural networks with coupling and time-varying delay is studied. By constructing the appropriate Lyapunov-Krasovskii functional, utilizing the theory of Kronecker product of matrices and the linear matrix inequality (LMI) technique, the global synchronization sufficient condition which contains the upper bound and the derivative of the time delay for an array of asymmetric static neural networks is obtained. At last, numerical example is given to illustrate the effectiveness of the result.
Keywords :
Lyapunov methods; delays; linear matrix inequalities; neural nets; synchronisation; time-varying systems; Kronecker matrix product; LMI technique; Lyapunov-Krasovskii functional; asymmetric static neural network array; coupling; global synchronization; linear matrix inequality technique; time-varying delay; Arrays; Complex networks; Couplings; Delay effects; Delays; Neural networks; Synchronization; Kronecker product; Static neural networks; Synchronization;
Conference_Titel :
Service Operations and Logistics, and Informatics (SOLI), 2013 IEEE International Conference on
Conference_Location :
Dongguan
Print_ISBN :
978-1-4799-0529-4
DOI :
10.1109/SOLI.2013.6611481